| Abstract: |
| Exponential attractors of infinite dimensional dynamical systems are compact,
semi-invariant sets of finite fractal dimension that attract all bounded
subsets at an exponential rate.
They contain the global attractor and, due to the exponential rate of convergence, are
generally more stable under perturbations than global attractors.
In the autonomous setting exponential attractors have
been studied for several decades and their existence has been shown
for a large variety of dissipative equations. More
recently, using the pullback approach the theory has been
extended to non-autonomous and random problems. We present general existence results for random pullback exponential attractors in Banach spaces
and derive explicit estimates on their fractal dimension. As an application a stochastic semilinear damped wave equation is considered. |
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